Direct and inverse theorems on the approximation of almost periodic functions in Besicovitch-Stepanets spaces

Fuente: arXiv
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Hauptverfasser: Serdyuk, Anatolii, Shidlich, Andrii
Format: Preprint
Veröffentlicht: 2021
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author Serdyuk, Anatolii
Shidlich, Andrii
author_facet Serdyuk, Anatolii
Shidlich, Andrii
contents Direct and inverse approximation theorems are proved in the Besicovitch-Stepanets spaces $B{\mathcal S}^{p}$ of almost periodic functions in terms of the best approximations of functions and their generalized moduli of smoothness.
format Preprint
id arxiv_https___arxiv_org_abs_2105_06796
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Direct and inverse theorems on the approximation of almost periodic functions in Besicovitch-Stepanets spaces
Serdyuk, Anatolii
Shidlich, Andrii
Classical Analysis and ODEs
Numerical Analysis
42A75, 41A17, 41A25 26A15
Direct and inverse approximation theorems are proved in the Besicovitch-Stepanets spaces $B{\mathcal S}^{p}$ of almost periodic functions in terms of the best approximations of functions and their generalized moduli of smoothness.
title Direct and inverse theorems on the approximation of almost periodic functions in Besicovitch-Stepanets spaces
topic Classical Analysis and ODEs
Numerical Analysis
42A75, 41A17, 41A25 26A15
url https://arxiv.org/abs/2105.06796